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3 years ago

If cos 0 = -3/4 and 0 is in quadrant iii then sin 0 is equivalent to

Mathematics

1 answer:

IgorC [24]3 years ago

4 0

Answer: - radical 7 / 4

Step-by-step explanation:

draw a triangle in quadrant III

plug in correct terms

use Pythagorean theorem

to simplify down to find the opposite angle

b= rad 7

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What are the exact steps to solve for the x-intercepts of f(x)= −4x2 + 4x + 8? What about −9 = x2 + 6x? Please explain thoroughl

victus00 [196]

Answer:

x-intercepts: (-1, 0) and (2, 0)

x-intercept: (-3, 0)

Step-by-step explanation:

Given quadratic function:

$f(x)=-4x^2+4x+8$

The x-intercepts of a quadratic function are the points at which the curve crosses the x-axis ⇒ when y = 0

Therefore, to find the x-intercepts of the given function, set the function to zero:

$\implies -4x^2+4x+8=0$

Factor out -4:

$\implies -4(x^2-x-2)=0$

Divide both sides by -4

$\implies x^2-x-2=0$

Rewrite the middle term as -2x + x:

$\implies x^2-2x+x-2=0$

Factor the first two terms and the last two terms separately:

$\implies x(x-2)+1(x-2)=0$

Factor out the common term (x - 2):

$\implies (x+1)(x-2)=0$

Zero Product Property: If a ⋅ b = 0 then either a = 0 or b = 0 (or both).

Using the Zero Product Property, set each factor equal to zero and solve for x (if possible):

$\begin{aligned}(x+1) & = 0 & \quad \textsf{ or } \quad \quad (x-2) & = 0\\\implies x & = -1 & \implies x & = 2\end{aligned}$

Therefore, the x-intercepts are (-1, 0) and (2, 0).

---------------------------------------------------------------------------------------

Given quadratic equation:

$-9 = x^2 + 6x$

Add 9 to both sides:

$\implies x^2+6x+9=0$

Rewrite the middle term as 3x + 3x:

$\implies x^2+3x+3x+9$

Factor the first two terms and the last two terms separately:

$\implies x(x+3)+3(x+3)=0$

Factor out the common term (x + 3):

$\implies (x+3)(x+3)=0$

$\implies (x+3)^2=0$

Square root both sides:

$\implies (x+3)=0$

Solve for x:

$\implies x=-3$

Therefore, the x-intercept is (-3, 0).

As the function has a repeated factor (multiplicity of two), the curve will touch the x-axis at (-3, 0) and bounce off.

3 0

2 years ago

The steps below show the incomplete solution to find the value of x for the equation

monitta

The next step is most likely to add 3 to both sides, so that 3 cancels out, and 15 turns into 18.

The answer is: Step 4: 3x = 18
(I don't know if you want me to continue or not, but I will) ;)

Then divide by 3 on both sides so that 3 cancels out and 18 turns into 6, and you have the value of x.

Step 5: x = 6

You can check your answer by replacing x with 6.

5 · 6 - 2 · 6 - 3 = -2 + 17
15 = 15

Hope this helped! If you have anymore questions or don't understand, please comment or DM me. :)

5 0

3 years ago

I need to find the formula for these shaded squares

vaieri [72.5K]

For the given sequence we have the formula:

Sₙ = 1 + (n - 1)*2

The 50th square will have 99 shaded squares.

<h3 /><h3>How many shaded squares are on the n-th square?</h3>

Here we have a sequence:

The first square has 1 shaded squares.

the second square has 3 shaded squares.

The third square has 5 shaded squares.

And so on.

Already you can see a pattern here, each next step we add 2 shaded squares, then we can write the formula:

Sₙ = 1 + (n - 1)*2

Where S is the number of shaded squares and n is the number of the figure.

Then the 50th square will have:

S₅₀ = 1+ (50 - 1)*2 1 + 49*2 = 99

Learn more about sequences:

brainly.com/question/6561461

#SPJ1

8 0

1 year ago

Any help with this please?

Leni [432]

Answer:

∠1=128°

∠2=52°

∠3=47°

∠4=133°

∠5=81°

Step-by-step explanation:

∠1=180-52=128°

∠2=52°(alternate angles)

∠4=180-47=133°

∠3=47°(alternate angles)

∠2+∠3+∠5=180

52+47+∠5=180

∠5=180-99=81°

8 0

3 years ago

In a uniform distribution, all categories have roughly the same frequency. True False

damaskus [11]

True, a uniform distribution usually means they will be around the same frequency

3 0

3 years ago